tom-rhea-introduction to music technology
TRANSCRIPT
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COLI.EeF () o' r ll '
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•
Introduction
Introduction:
MTO
0
landbotlk
. utYou
Should
ReadThis One
This booklet
is
designed
to
make your classroom experience
in
Berklee's
MTO I 0 Introduction to Music Technology course more productive and
more pleasant.
It
lightens your note-taking load, and makes it possible for
teacher and students
to
do what humans do best-interact.
Nothing takes the place of
learning by doing
and opportunities using
Berklee's unparalleled facilities are provided
in
this course
to
do
just
that.
Learning also occurs in the time-honored way of the musician-by being
shown.
The demonstrations in class will
be
much more vivid
i
you can
focus
on
them without furiously scribbling "notes" that you have
to
de-
code later
Obviously, this written material is not a substitute for classroom participa-
tion. Nor will it "teach" you things that you must do or be shown in order
to
learn. But it will provide a framework of tenus and concepts that sup-
port your understanding
of
the music technology that is around you. The
typography
of
this text also supports your review
of
the material for
exams, with words
in
bold that
summarize
important ideas.
This booklet answers some
of
the "what" questions about music technol-
ogy. Your classroom experience and hands-on opportunities will answer
some
of
the questions about "how." And
i
you persist, you may
come
to
see that "music technology" has
always
been with
us it
is not some
foreign idea unique to your time and this place. You will then begin
to
provide yourself with the tools that help you give personal answers
to
the
many "whys?" that have motivated the creative musical act through the
ages.
And,
as
always,
if
you discover something that gives meaning, increases
freedom, or brings joy share it with your friends
5
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Sound Pro . es
=
There's an old riddle about sound that asks: if a tree falls in the fores
t
does it make a sound
if
nobody is there to hear it? The heated debate that
can arise depends on how you define sound. One dictionary tells us that
sound
is
mechanical radiant energy that is transmitted by longitudinal
pressure waves in a material medium, while another definition defines
sound as vibrations in air, water, etc. that stimulate the auditory nerves
and produce the sensation of hearing. You can find a definition
to
fit
either answer to the riddle, depending on whether trees fall
in
splendid
isolation or in your back yard while you're cooking barbecue. Is sound
energy that is transmitted even if nobody is listening, or is it the sensation
o
hearing which requires a listener?
Scientific instruments can sense, record, and report on vibrations of the
earth (seismic), or the air (sonic). No listener need be present for these
devices
to
prove that sound
as
energy that is transmitted occurs when a
tree falls.
f
several instruments report this sound you would expect
agreement among them, for well-designed scientific instruments provide
us
with objective information. That is, information that is directly measur-
able, real or actual, independent of the mind's interpretation. And you
aren t surprised to fmd that this kind of information is expressed using
numbers expressed on a scale people have agreed upon.
On the other hand you expect listeners to talk about sound using language
that is subjective affected by, or produced by the mind or state of mind.
Subjective information typically is not subject
to
being checked externally
or being verified by other persons. About the best you can
do
is to survey
a group of people to see i f there is any agreement about what they hear.
For centuries musicians have described sound subjectively, using words
like sharp, flat, loud, shrill. bright, dark. incisive. loud. soft. etc. Musicians
have recognized the general properties of musical sound: pitch, timbre
(tone color), loudness, and duration.
If
we think
of
duration
as
simply the
timing
of
loudness. it is simpler to say that musical sound has the subjec-
tive sound properties: pitch. timbre, and loudness. These properties are
quite real to us, and there is much agreement concerning how we hear
them. but they are subjective nevertheless. Subjective properties of sound
have to do with the sensation
o
hearing. Musicians recognize the interval
of an octave and respond in predictable ways to dynamic markings such as
ppp mf and ffJ but these sound properties rely on (subjective) human
judgment and musical experience
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MTOJO Handbook
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hapter
•
Sound Prope rries
Musicians have traditionally given little thought
O
the individu::ll
pro
er-
ties
of
sound-objective or subjective, because acoustic instruments gener-
ally don't offer independent control over sound properties. T:.e ph. _icai
characteristics of acoustic instruments dictate that control or-sound pro
tics is somewhat
integrated
For example, because of its
construction.
the
clarinet has a characteristic timbre (tone color) for each
of
Its ihree pi<ch
registers. It would be difficult to play high notes with me timbre rloun: lly
associated with the low register. The trumpet has a built-in
relation,hi
t
between timbre and loudness: soft sounds tend to be mellow and lou'::
sounds are brilliant. For thousands of years musical instrumems
naye
hJ."
this characteristic integration of control
of
the properties
of
sou,'lu.
You
just can't tear instruments made of metal and wood apan easily
t:
at
ow
independent control over sound properties. Historically. mu-ic:311: h:I"e
had little interest in the science of sound because so little eouid · .e
about
il
Electronic technology is changing our possibilities fo r olltrOllL'l : ur : .
and the concepts
we
have in making music. with electronic me2-':
we cart override some
of
the built-in tendencies
of aco ti
in.:mun nt.:--
we hope for artistic effect. For instance, screaming-loud
uumpe
C:1.
recorded and reduced to a low level in the final mix: In a.se. in
dent control
of
loudness and timbre can create a brilliant. ut "uie .
sound-overcoming the "natural" characteristics
of
the inst:rurni .lt.
-
this is what early composers
tried
to
achieve when they \\
.....
••
trumpet parts?
In fact, modern electronic musical instruments and rec rdin ue . _
:e- ,
,
maximize the segregation of sound properties.
Some
ynth.> ·ze
\ .
-
deal with sound properties individually at a mi ros opi
ley
1. Tn > i.: _
growing tendency to express sound properties numerical.ly. aI1u in
•
language of the
objective
sound properties:
frequency.
sp trum. Bye
shape, and
intensity.
Objective language has a clear meaning regardle-,,,,
language, culture, gender, etc. The re"
designers and others who understand thi langu ge i
-
f diffe. '
wish to shape and control sound. On the oth r h nd. th'
ear-a SUbjective organ to be sure-has the 1 t t
rd
n In : i
Music is for
people-nol
machines The m r , u .
I
\\
:1 t
-
and subjective sound propenies.
the
Ie u: th : . r
diction will seem.
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Chapter 1
•
Sound Properties
Pitch-
MTOJO
Handbook
You tune up before playing by matching the pitch of your instrument
to
some tuning reference such as A above middle
t
so happens that th e
pitch of the musical note known as A above middle C has varied wide ly
over the centuries in different countries. Only in this century has A-440
been accepted to standardize the tuning of modern instruments and the
pitch of our musical scale. But what does A-440 mean? The number
440 represents a frequency standard, meaning that a sound that repea
ts
its vibration 440 times per second will occupy the
A
above middle C
position on our musical scale. Note the use of numbers and the standard-
ized time unit se ond
to
describe this objective property
of
sound. We
judge the
pitch-we
measure its frequency.
Freque1ZC)
1 _
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Tif1U
Time
Lower
Frequency
lflPtr
Frequency
.1 -
Let's see how pitch and frequency relate.
We
hear pitch as the highness or
lowness of a sound. The piccolo plays high pitches; the tuba plays low
pitches. Our perception
of
pitch is complex, but depends mostly on how
frequently and regularly sound pressure waves strike our ears. Many
children
make
a motor for their bicycle
by
attaching a piece
of
card-
board so the spokes strike it regularly. TIle faster the wheel turns, the
higher the pitch of the sound caused by the spokes striking the cardboard.
That's because the individual spoke sounds are heard more frequently-
there are more repetitions per second. Pitched sound is a periodic phe-
nomenon in which a particular vibration pattern repeats regularly. Fre-
quency is defined as the
number
of times a given pattern repeats in a unit
of time-usually a second. Frequency is expressed numericaUy in ertz
(abbreviated Hz), or in outmoded tell lS
cycles per second abbreviated
cps .
The modern pitch standard produces an A above middle C with a
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Chaptu . SOllnd Properties
•
frequency of 440 Hz. Although the correspondence between frequency and
what we perceive as pitch
is
not perfect, a higher frequency is generally
heard as a higher pitch.
For
the scientist who measures frequency
in
Hertz, an octave is defined as
a 2: J ratio. That is, the octave above the note A at 440Hz is twice that
number, or
880 Hz. The octave above the note A
at
7,040 Hz is therefore
14,080 Hz. But the musician judges an octave or any other musical inter-
val by ear. And research has shown that the pitches musicians judge
to
bc
the interval of an octave do
not
always have a
2:
I ratio in frequency. We
tend
to
judge the extreme highs and lows of the perceptible pitch span
differently than the middle portion. We tend
to
want
to
stretch the high
frequencies higher, and the low frequencies lower
to
satisfy our musical
sense of pitch. Because of human anatomy your ear/brain perceives pitch
on a nonlinear, or
curved
response
to
the frequencies heard. Your ear
doesn't operate on the predictable linear, or straight line of a
2:
1 frequency
ratio for the scientist 's octave. And to make things worse, not all musi-
cians perceive pitch on the same curve
Timhre-Waveshape/Spectrnm
f everyone in the group plays the same note A-440 when tuning, what is
it that lets us tell one instrument from another? Why does each instrument
have a distinctive tone color even when playing the "same note?" It s easy
to tell one class
of
musical sound from another
by
how each sound starts
and ends. Whether a sound
is
bowed, blown, struck, etc. helps you judge
what kind of instrument is involved. This transient behavior involves the
attack and release, or how a sound
begins
and
ends.
and affects how we
tell which instrument is playing.
Also, if you view a steady tone made by a musical instrument on a scien-
tific instrument called an oscilloscope you see a distinctive waveshape.
This waveshape appears as a single line on the oscilloscope, a device that
can dynamically graph sound pressure level (SPL) as it changes in timc.
Since waveshape
is
a representation of sound in time, this depiction
is
known
as
the time domain. Time
is
depictcd along the horizontal aus.
and the amplitude. or size of the waveshape
is
shown on the vertical axis.
If the wavcshape is audible you perccive its amplitude as loudness. In the
time domain it is easy to idcntify classic waveshapcs such as the sawtooth,
square, triangular, becausc each shape suggests its name.
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hapter
1 .
Sound Properties
Waveform
s· Time omaitl epresentation
Time ' ..
I
I
/
\
-
\
Saw looih
Square
Triangle
With a few exceptions, different waveshapes are heard
as
different tim-
bres. Most acoustic instruments have a distinctive waveshape that helps us
identify that instrument's unique timbre, or tone color. If an elec trical
signal generated by a sampler or synthesizer has the same waveshape as a
sound created by a traditional instrument (other factors such as transient
behavior considered) their sounds will be similar. Of course,
just
because
you can produce waveshapes of acoustic instruments doesn t mean you
can perform like people who have devoted a lifetime
to
the study
of
those
instruments
Looking at a waveshape is not necessarily the best way
to
know what
sound it will make. There is another way of representing sound graphi-
cally, the frequency domain. The differences you hear among various
static, or steady-state musical waveshapes are due to differences in their
spectra (plural). The spectrum (singular)
of
a particular waveshape
comprises a collection
of simple components, each of which is called a
pal
tial. Each partial is a sine wave having a unique frequency (hence
frequency domain) within that particular spectrum. A sine wave is a
representation
of
simple hallllOruc motion (abbreviated
SHM
) which can
be derived from circular motion, and illustrated by the pendulum
of
a
clock. A sine wave is a "pure" sound that cannot be simplified (it
isn t
a
collection
of
partials-i t is a partial). The closest sounds we have
to
illus-
trate a sine wave are a tuning fork tone (especially when aided by a reso-
nating box), singing
00
softly in falsetto, or the tone produced by blow-
ing across the opening
of
a bottle. A spectrum, or
frequency
domain
representation of a sound looks like a bar graph, or histogram. Each
partial
is
represented individually as a single vertical line on the hori-
zontal axis indicating its frequency. The height of an individual line
represents the strength
of
that partial: the
amplitude of
a partial
is
repre-
sented on the vertical axis.
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Sound Properties
14
Square
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1
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Ft eq
--
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2
3
4
5
6
7
8
9
10 JJ 12
13
14
15
16
al
monic Number
Frequency
OTTUlin Representation
Harmonics and Nonharmonics
A periodic, or pitched sound in the world of music is usually not a simple
sine wave, it is a complex waveshape.
The
sound of a complex waveshape
is the result
of
the simultaneous vibrations of its several partials.
Many
complex waveshapes consist
of
a
first
partial called the fundamental.
and other partials
of
higher frequency and smaller amplitude. When thc
frequencies of these upper partials are whole number multiples of the
frequency
of
the fundamental, the partials are called
harmonics.
For
instance, a complex waveshape with a fundamental frequency of
100
Hz
might be composed
of
simple sounds (sine waves,
or
partials) having the
frequencies 100 Hz, 200 Hz, 300 Hz,
400
Hz. and so forth.
These
frequen-
cies are whole number
multiples
of the fundamental frequency 100Hz.
and are therefore harmonic. Whole numbers are integers.
and
all the
partials of a periodic, or pitched sound are harmonic. meaning the partials
have an
integral
relationship to the fundamental. Upper partials that are
harmonic tend to reinforce our perception of the fundamental frequency as
the pitch we identify.
The
presence and relative strengths of halIllonies thc
harmonic
spectrum accounts
in part for
our
perception
of
the timbre,
or
distinctive tone color of many musical instruments.
What if a partial is nonintegral: not a whole num er mlllTiple of the
fundamental? For instance. in the collection of partials: 100 Hz. 215 H7.
300
Hz, 400 Hz. 550 Hz the partials tuned to 215 Hz and 550 Hz arc
or
whole number multiples
of
the fundamental. Each of these partial is a
nonharmonic (sometimes called inhallllonic). A bell sound. a so-called
clangorous sound, usually has several nonharmonics in spectrum.
Sometimes there is no clear fundamental frequency in a clangorous sound.
and partials typically exhibit nonintegral relationships. If there is a mn
dom distribution
of
partials over the entire auditory rang.:, we hear noise .
whIch sounds like the static between stations on FM radio
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Chapur 1 - SoU lt1
Loudness-Intensity/Anlplitude
MTOJO andbook
If you look at a guitar string as it vibrates, it is apparent that the distance
that the string moves is related to how loud the sound is. The amplitude
or size
of
the vibrations, and the objective sound property
of
intensjty are
obviously related
to
the subjective sound property loudness. But it is
difficult to measure intensity directly outside the laboratory,
so
we mea-
sure sound intensity indirecLly using devices like a sound pressure (
SPL
)
meter using the decibel (dB ) scale. f we view a static audio waveshape on
the oscilloscope
we
can measure the signal
amplitude
(usually expressed
in the electrical unit
of
volts) on the vertical axis, and this also relates 0
the loudness that we hear. Using either device, we are
nOt
measuring
intensity directly, but an electrical signal that represents intensity. \Ve
often say that an electrical signal has a certain level, another name thal
indicates size.
Amplitude
Time -
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Smalkr
Ampf lude
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Of all the sound properties, loudness s the least well-behaved wheo we try
to
make it fit an objective property like intensity or amplitude. Imagine
that you listen to a quiet but audible sine wave whose amplitude remains
unchanged. You adjust its frequency over the tOtal span
of
human hearing.
What happens to its loudness as you change the frequency? You won t
hear the sine wave equally well
a1
every frequency. Loudness. which we
perceive subjectively, varies even though the objective signal amplitude
does not. In fact it would sound quite loud at 3.000 Hz 3 kiloHertz. or 3
kHz) and might not be audible at all at 30 Hz or at
15.000
Hz. If you
graphed your ear s response you would see another curve, indicating a
nonlinear response to a sine wave whose amplitude remains the same as its
frequency is changed. On the other hand a very loud sine wave with a
fixed amplitude sounds at about the same loudness at low. mid. and high
frequencies.
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hapraJ • Sound
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•
•
6
Iffact,
there are several sets
of equal
loudness
curves
for sine
waves
that
illustrate this experiment, the earliest due
to Fletcher and Munson
These
curves graphically show that the ear is more linear, or "flat" in its response
at very high levels, and extremely nonlinear at lower levels. But
you ve
probably had a vivid example
of
the ear s nonlinearity regarding intensity/
loudness if you simply recall it: when the phone rings and you tum down
your stereo, what changes about the music? The lowest bass and highest
treble seem to disappear when you play music at a low level. This isn t a
deficiency of your stereo-it's caused by the nonlinear response of your
ears. Most stereo amplifiers have a so-called "contour" or "emphasis"
switch that electronically boosts lows and highs;
it s
use will "flatten out"'
the ear's response when playing at low levels and make the tonal balance
sound better. (Don't use it when playing at high levels-the ear doesn t
need it, and your neighbors probably don t either.) Try playing the same
passage on your stereo at different levels
to
demonstrate the ear s fre-
quency/loudness response
to
yourself
120 -
,-:
100 -
80
6
40
20
o
20
Hz
•
100
liz
lk Hz
MlNIMUM AUDIBLE FIELD
Threshold
of Hearing)
Equal Loudness
Co1/tOllrs
Robinson Dadson)
5kHz
10k Hz
/.U OIO Handlx>Qk
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hapter1 ound
ropmlu
As we see. thl century' s music technology has some specialized teuIlS
and language. and we can better deal with this technology
i
we are famil-
iar with the e tCIIIlS In fact, there are many specialized tellBS within the
field
o
mU,ic. For instance. words like "nut" and "frog" and "bridge"
conjure up specific images for a nonmusician, but have a very different
meaning to a violinist
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•
•